Question

J is the midpoint of HK . What are HJ, JK, and HK?

Answer 1

HJ=25

JK=25

HK=50

Explanation

Step 1

J is the midpoint, it means

$HJ=JK$

Step 2

replace andsolve for x

$\begin{gathered} HJ=JK \\ 9x-2=4x+13 \\ \text{subtract 4x in both sides} \\ 9x-2-4x=4x+13-4x \\ 5x-2=13 \\ add\text{ 2 in both sides} \\ 5x-2+2=13+2 \\ 5x=15 \\ divide\text{ both sides by 5} \\ \frac{5x}{5}=\frac{15}{5} \\ x=3 \\ \end{gathered}$

Step 3

finally replace the valure of X to find HJ and JK

$\begin{gathered} HJ=JK=9x-2=9\cdot3-2=27-2=25 \\ HJ=25 \\ JK=25 \\ then \\ HK=HJ+JK=25+25 \\ \\ HK=50 \end{gathered}$

I hope this helps you